Least Common Multiple of 5383 and 5385
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5383 and 5385 the smallest integer that is 28987455 that is divisible by both numbers.
Least Common Multiple (LCM) of 5383 and 5385 is 28987455.
LCM(5383,5385) = 28987455
LCM of 5383 and 5385
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5383 and 5385 by Prime method
- Least Common Multiple of 5383 and 5385 with GCF Formula
LCM of 5383 and 5385 is 28987455
Least common multiple can be found by multiplying the highest exponent prime factors of 5383 and 5385. First we will calculate the prime factors of 5383 and 5385.
Prime Factorization of 5383
| 7 | 5383 |
| 769 | 769 |
| 1 |
Prime factors of 5383 are 7,769. Prime factorization of 5383 in exponential form is:
5383 = 71×7691
Prime Factorization of 5385
| 3 | 5385 |
| 5 | 1795 |
| 359 | 359 |
| 1 |
Prime factors of 5385 are 3, 5,359. Prime factorization of 5385 in exponential form is:
5385 = 31×51×3591
Now multiplying the highest exponent prime factors to calculate the LCM of 5383 and 5385.
LCM(5383,5385) = 31×51×71×3591×7691
LCM(5383,5385) = 28987455
Factors of 5383
List of positive integer factors of 5383 that divides 5383 without a remainder.
1, 7, 769, 5383
Factors of 5385
List of positive integer factors of 5385 that divides 5385 without a remainder.
1, 3, 5, 15, 359, 1077, 1795, 5385
Least Common Multiple of 5383 and 5385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5383 and 5385, than apply into the LCM equation.
GCF(5383,5385) = 1
LCM(5383,5385) = ( 5383 × 5385) / 1
LCM(5383,5385) = 28987455 / 1
LCM(5383,5385) = 28987455
Properties of LCM 5383 and 5385
(i) The LCM of 5385 and 5383 is associative
LCM of 5383 and 5385 = LCM of 5385 and 5383
Related Least Common Multiples of 5383
Related Least Common Multiples of 5385
Frequently Asked Questions on LCM of 5383 and 5385
1. What is the LCM of 5383 and 5385?
Answer: LCM of 5383 and 5385 is 28987455.
2. What are the Factors of 5383?
Answer: Factors of 5383 are 1, 7, 769, 5383. There are 4 integers that are factors of 5383. The greatest factor of 5383 is 5383.
3. What are the Factors of 5385?
Answer: Factors of 5385 are 1, 3, 5, 15, 359, 1077, 1795, 5385. There are 8 integers that are factors of 5385. The greatest factor of 5385 is 5385.
4. How to Find the LCM of 5383 and 5385?
Answer:
Least Common Multiple of 5383 and 5385 = 28987455
Step 1: Find the prime factorization of 5383
5383 = 7 x 769
Step 2: Find the prime factorization of 5385
5385 = 3 x 5 x 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28987455 = 3 x 5 x 7 x 359 x 769
Step 4: Therefore, the least common multiple of 5383 and 5385 is 28987455.
